A machining operation produces steel shafts where diameters have a normal distribution with a mean of 1.005 inches and a standard deviation of 0.01 inch. Specifications call for diameters to fall within the interval 1.00± 0.02 inches. What percentage of the output of this operation, will fail to meet specifications? What should be the mean diameter of the shafts produced to minimize the fraction that fail to meet specifications? b

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